Cuboid to cube

A cuboid with dimensions of 9 cm, 6 cm, and 4 cm has the same volume as a cube. Calculate the surface of this cube.

Correct answer:

S =  216 cm²

Step-by-step explanation:

$$\begin{gathered} a=9\text{ cm } \\ b=6\text{ cm } \\ c=4\text{ cm } \\ V=a\cdot b\cdot c=9\cdot 6\cdot 4=216{\text{cm}}^3 \\ V=x^3 \\ x=\sqrt[3]{V}=\sqrt[3]{216}=6\text{ cm } \\ S=6\cdot x^2=6\cdot 6^2=216{\text{cm}}^2 \end{gathered}$$

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